CGAL::Line_arc_3< SphericalKernel > Class Template Reference

#include <CGAL/Line_arc_3.h>

Definition

template<typename SphericalKernel>
class CGAL::Line_arc_3< SphericalKernel >

Is Model Of:

SphericalKernel::LineArc_3

See also

CGAL::Circular_arc_point_3<SphericalKernel>

CGAL::Circular_arc_3<SphericalKernel>

Creation
	Line_arc_3 (const Line_3< SphericalKernel > &l, const Circular_arc_point_3< SphericalKernel > &p1, const Circular_arc_point_3< SphericalKernel > &p2)
	Construct the line segment supported by l, whose source is p1, and whose target is p2. More...
	Line_arc_3 (const Line_3< SphericalKernel > &l, const Point_3< SphericalKernel > &p1, const Point_3< SphericalKernel > &p2)
	Same. More...
	Line_arc_3 (const Segment_3< SphericalKernel > &s)

Access Functions
Line_3< SphericalKernel >	supporting_line ()
Circular_arc_point_3< SphericalKernel >	source ()
Circular_arc_point_3< SphericalKernel >	target ()
Circular_arc_point_3< SphericalKernel >	min ()
	Constructs the minimum vertex according to the lexicographic ordering of coordinates. More...
Circular_arc_point_3< SphericalKernel >	max ()
	Same for the maximum vertex. More...

Query Functions
bool	is_vertical ()
	Returns true iff the segment is vertical. More...
bool	operator== (const Line_arc_3< SphericalKernel > &s1, const Line_arc_3< SphericalKernel > &s2)
	Test for equality. More...
bool	operator!= (const Line_arc_3< SphericalKernel > &s1, const Line_arc_3< SphericalKernel > &s2)
	Test for nonequality. More...
istream &	operator>> (std::istream &is, Line_arc_3 &ca)
	The format for input/output is, for each line arc: a Line_3 (the supporting line) and two Circular_arc_point_3 (the two endpoints), under the condition that the endpoints are actually lying on the line. More...
ostream &	operator<< (std::ostream &os, const Line_arc_3 &ca)
	The format for input/output is, for each line arc: a Line_3 (the supporting line) and two Circular_arc_point_3 (the two endpoints), under the condition that the endpoints are actually lying on the line. More...

Constructor & Destructor Documentation

Line_arc_3() [1/3]

template<typename SphericalKernel >

CGAL::Line_arc_3< SphericalKernel >::Line_arc_3	(	const Line_3< SphericalKernel > &	l,
		const Circular_arc_point_3< SphericalKernel > &	p1,
		const Circular_arc_point_3< SphericalKernel > &	p2
	)

Construct the line segment supported by l, whose source is p1, and whose target is p2.

Precondition

p1 and p2 lie on l. p1 and p2 are different.

Line_arc_3() [2/3]

template<typename SphericalKernel >

CGAL::Line_arc_3< SphericalKernel >::Line_arc_3	(	const Line_3< SphericalKernel > &	l,
		const Point_3< SphericalKernel > &	p1,
		const Point_3< SphericalKernel > &	p2
	)

Same.

Line_arc_3() [3/3]

template<typename SphericalKernel >

CGAL::Line_arc_3< SphericalKernel >::Line_arc_3

(

const Segment_3< SphericalKernel > &

s

)

Member Function Documentation

is_vertical()

template<typename SphericalKernel >

bool CGAL::Line_arc_3< SphericalKernel >::is_vertical

(

)

Returns true iff the segment is vertical.

max()

template<typename SphericalKernel >

Circular_arc_point_3<SphericalKernel> CGAL::Line_arc_3< SphericalKernel >::max

(

)

Same for the maximum vertex.

min()

template<typename SphericalKernel >

Circular_arc_point_3<SphericalKernel> CGAL::Line_arc_3< SphericalKernel >::min

(

)

Constructs the minimum vertex according to the lexicographic ordering of coordinates.

operator!=()

template<typename SphericalKernel >

bool CGAL::Line_arc_3< SphericalKernel >::operator!=	(	const Line_arc_3< SphericalKernel > &	s1,
		const Line_arc_3< SphericalKernel > &	s2
	)

Test for nonequality.

operator<<()

template<typename SphericalKernel >

ostream& CGAL::Line_arc_3< SphericalKernel >::operator<<	(	std::ostream &	os,
		const Line_arc_3< SphericalKernel > &	ca
	)

The format for input/output is, for each line arc: a Line_3 (the supporting line) and two Circular_arc_point_3 (the two endpoints), under the condition that the endpoints are actually lying on the line.

operator==()

template<typename SphericalKernel >

bool CGAL::Line_arc_3< SphericalKernel >::operator==	(	const Line_arc_3< SphericalKernel > &	s1,
		const Line_arc_3< SphericalKernel > &	s2
	)

Test for equality.

Two segments are equal, iff their non-oriented supporting lines are equal (i.e. they define the same set of points), and their endpoints are the same.

operator>>()

template<typename SphericalKernel >

istream& CGAL::Line_arc_3< SphericalKernel >::operator>>	(	std::istream &	is,
		Line_arc_3< SphericalKernel > &	ca
	)

The format for input/output is, for each line arc: a Line_3 (the supporting line) and two Circular_arc_point_3 (the two endpoints), under the condition that the endpoints are actually lying on the line.

source()

template<typename SphericalKernel >

Circular_arc_point_3<SphericalKernel> CGAL::Line_arc_3< SphericalKernel >::source

(

)

supporting_line()

template<typename SphericalKernel >

Line_3<SphericalKernel> CGAL::Line_arc_3< SphericalKernel >::supporting_line

(

)

target()

template<typename SphericalKernel >

Circular_arc_point_3<SphericalKernel> CGAL::Line_arc_3< SphericalKernel >::target

(

)